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Finding the Fourth Proportional to 2,902.56, 4,002.96 and 2,280.48

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Solution

The fourth proportional to 2,902.56, 4,002.96 and 2,280.48 is: 3,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.56 : 4,002.96 = 2,280.48 : x
  2. Step 2: Convert to fraction form
    2,902.56/4,002.96 = 2,280.48/x
  3. Step 3: Cross multiply
    2,902.56x = 4,002.96 × 2,280.48
  4. Step 4: Simplify right side
    2,902.56x = 9,128,670.22
  5. Step 5: Solve for x
    x = 9,128,670.22/2,902.56
  6. Step 6: Final answer
    x = 3,145.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.